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Finding the Fourth Proportional to 6,814.76, 10,212.46 and 5,248.84

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Solution

The fourth proportional to 6,814.76, 10,212.46 and 5,248.84 is: 7,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.76 : 10,212.46 = 5,248.84 : x
  2. Step 2: Convert to fraction form
    6,814.76/10,212.46 = 5,248.84/x
  3. Step 3: Cross multiply
    6,814.76x = 10,212.46 × 5,248.84
  4. Step 4: Simplify right side
    6,814.76x = 53,603,568.55
  5. Step 5: Solve for x
    x = 53,603,568.55/6,814.76
  6. Step 6: Final answer
    x = 7,865.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.